1. BELLRINGER: The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning home.
What do the horizontal lines on the graph represent?
Where in the graph shows her taking care of the 2 errands?
Compare how she traveled at the beginning to how she traveled at the very end.
Create Maria’s story so that it matches the graph.

2. Review HW

3. Characteristics of Functions

4. Coordinate Algebra
UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems?
Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5
Today’s Question: What are the key features of a linear and an exponential function?
Standards: F.IF 4, F.IF 5, F.IF 7, F.IF 7a, F.IF 7e

5. Intercepts
x-intercept – the point at which the line intersects the x-axis at (x, 0)
y-intercept – the point at which the line intersects the y-axis at (0, y)

6. Find the x and y intercepts, then graph.
-3x + 2y = 12

7. Increasing, Decreasing, or Constant
Sweep from left to right and notice what happens to the y-values
Increasing goes up (L to R)
Decreasing falls down (L to R)
Constant is a horizontal graph

8. Continuous vs Discrete
Continuous has NO breaks
Discrete has gaps or breaks

9. Extrema Minimum Point – least value of the function
Maximum Point – greatest value of the function

10. Domain & Range Domain – all x-values of a function
Range – all y-values of a function

11. Notation
Interval – represents an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included
Set – using inequalities to describe the values

12. Asymptote
A line that a graph gets closer and closer to, but never crosses or touches

13. Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
Maximum or Minimum?

14. Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
Maximum or Minimum?

15. Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
Maximum or Minimum?
Horizontal Asymptote:

16. Characteristics Domain: Range: Intercepts: Increasing or Decreasing?
Maximum or Minimum?
Horizontal Asymptote:

17. Characteristics of Functions Worksheet 7 problems
Classwork
Characteristics of Functions
Worksheet 7 problems

18. Characteristics of Functions Worksheet 6 problems
Homework
Characteristics of Functions
Worksheet 6 problems